1516811329656 has 192 divisors, whose sum is σ = 4744836645120. Its totient is φ = 428778040320.

The previous prime is 1516811329613. The next prime is 1516811329679. The reversal of 1516811329656 is 6569231186151.

It is a happy number.

1516811329656 is a `hidden beast` number, since 1 + 516 + 8 + 1 + 1 + 32 + 96 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32496271 + ... + 32542913.

It is an arithmetic number, because the mean of its divisors is an integer number (24712690860).

Almost surely, 2^{1516811329656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516811329656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372418322560).

1516811329656 is an abundant number, since it is smaller than the sum of its proper divisors (3228025315464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1516811329656 is a wasteful number, since it uses less digits than its factorization.

1516811329656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47346 (or 47339 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 1516811329656 in words is "one trillion, five hundred sixteen billion, eight hundred eleven million, three hundred twenty-nine thousand, six hundred fifty-six".